Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640f |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3190081766400 = -1 · 210 · 32 · 52 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3560,25312] |
[a1,a2,a3,a4,a6] |
Generators |
[29:390:1] |
Generators of the group modulo torsion |
j |
4871377107356/3115314225 |
j-invariant |
L |
3.5429324039505 |
L(r)(E,1)/r! |
Ω |
0.49654754094369 |
Real period |
R |
3.5675661561198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7320g4 58560dk3 43920o3 73200z3 |
Quadratic twists by: -4 8 -3 5 |